Homework Help: math

Posted by bob on Sunday, May 1, 2011 at 3:22pm.

a bootlenose dolphin jumps out of the water. the path the dolphin travels can be modeled by h=-0.2d^2+2d, where h represents the height of the dolphin in feet and d represents the horizontal distance.

What is the maximum height the dolphin can jump?

math - David, Monday, May 2, 2011 at 5:04pm
Assuming this is a calculus question and not a graphical one, you need to solve a simple differential equation in d:

h = 2d - (d^2)/5, so
dh/dd = 2 - 2d/5 = 0 at the maximum, so d=5. But at d=5, h= 2*5 - (5^2)/5 = 10 - 5 = 5. So the maximum height is 5 feet. Not very high, is it? Do check it and see if you agree.

Answer this Question

Related Questions

math - a bootlenose dolphin jumps out of the water. the path the dolphin travels...
math - a bootlenose dolphin jumps out of the water. the path the dolphin travels...
Physic - A dolphin experiences a force of 320 N [up] when it jumps out of the ...
physics - A trained dolphin leaps from the water with an initial speed of 12 m/s...
Physics - A dolphin jumps with an initial velocity of 13.0at an angle of 44.0 ...
Physics - A dolphin jumps with an initial velocity of 13.0at an angle of 44.0 ...
physics - A dolphin jumps with an initial velocity of 10.5 m/s at an angle of 32...
physic - A dolphin jumps with an initial velocity of 13.0m/s at an angle of 41.0...
physics - during a water show the dolphin made a vertical jump of 2.5 m. ...
physics - Dolphins ca detect small fish whose size is about equal to the ...

For Further Reading

First Name:
School Subject:
Answer: